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Finding the Fourth Proportional to 311.20, 466.85 and 105.78

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Solution

The fourth proportional to 311.20, 466.85 and 105.78 is: 158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.20 : 466.85 = 105.78 : x
  2. Step 2: Convert to fraction form
    311.20/466.85 = 105.78/x
  3. Step 3: Cross multiply
    311.20x = 466.85 × 105.78
  4. Step 4: Simplify right side
    311.20x = 49,382.86
  5. Step 5: Solve for x
    x = 49,382.86/311.20
  6. Step 6: Final answer
    x = 158.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.